In looking for the thermal fuse I did not find anything like that however there appears to be a low pressure switch a few inches ahead of the low pressure schrader valve in that pipe (can actually be seen in my engine pic in the showroom link - just foward of the rt hood hinge). So when the system was converted it must have been added. I guess I'll let them evac and recharge and see what happens. Been so busy though haven't had the time.
Ooohhhhh, somebody has eliminated the POA valve. Yep, that's a cycling switch. If the system pressure falls below about 40 psi, the compressor won't run. Have the shop look closely at the compressor shaft seal, they are prone to leak. The OEM type ceramic seal can be replaced with a modern double lip seal (same seal as for the H-6 compressor). They seal better and don't leak oil like the old style.
BTW, the jury is still out on the POA valve eliminator kits. There are some concerns about clutch wear because the A-4 clutch wasn't designed to cycle on and off. No personal experience, just thought I'd bring it up. They do seem like a good idea.